scholarly journals Asymptotic properties of functional differential equations with a general deviating argument

1978 ◽  
Vol 54 (2) ◽  
pp. 32-35
Author(s):  
Yuichi Kitamura
Keyword(s):  
Differential Equations ◽  
Asymptotic Properties ◽  
Functional Differential Equations ◽  
Deviating Argument ◽  
Functional Differential

scholarly journals Asymptotic Properties of Solutions to Third-Order Nonlinear Neutral Differential Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
Qi Li ◽  
Rui Wang ◽  
Fanwei Meng ◽  
Jianxin Han
Keyword(s):  
Differential Equations ◽  
Asymptotic Properties ◽  
Functional Differential Equations ◽  
Third Order ◽  
Neutral Functional Differential Equations ◽  
Neutral Differential Equations ◽  
Functional Differential

The aim of this work is to discuss asymptotic properties of a class of third-order nonlinear neutral functional differential equations. The results obtained extend and improve some related known results. Two examples are given to illustrate the main results.

scholarly journals A singular initial value problem for some functional differential equations

2004 ◽  
Vol 2004 (3) ◽  
pp. 261-270 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Donal O'Regan ◽  
Oleksandr E. Zernov
Keyword(s):  
Differential Equations ◽  
Initial Value Problem ◽  
Asymptotic Properties ◽  
Functional Differential Equations ◽  
Initial Value ◽  
Singular Initial Value Problem ◽  
Functional Differential

For the initial value problem trx′(t)=at+b1x(t)+b2x(q1t)+b3trx′(q2t)+φ(t,x(t),x(q1t),x′(t),x′(q2t)), x(0)=0, where r>1, 0<qi≤1, i∈{1,2}, we find a nonempty set of continuously differentiable solutions x:(0,ρ]→ℝ, each of which possesses nice asymptotic properties when t→+0.

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